start-ver=1.4 cd-journal=joma no-vol=105 cd-vols= no-issue=4 article-no= start-page=045316 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=2022425 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Lattice Boltzmann model for capillary interactions between particles at a liquid-vapor interface under gravity en-subtitle= kn-subtitle= en-abstract= kn-abstract=A computational technique based on the lattice Boltzmann method (LBM) is developed to simulate the wettable particles adsorbed to a liquid-vapor interface under gravity. The proposed technique combines the improved smoothed-profile LBM for the treatment of moving solid particles in a fluid and the free-energy LBM for the description of a liquid-vapor system. Five benchmark two-dimensional problems are examined: (A) a stationary liquid drop in the vapor phase; a wettable particle adsorbed to a liquid-vapor interface in (B) the absence and (C) the presence of gravity; (D) two freely moving particles at a liquid-vapor interface in the presence of gravity (i.e., capillary flotation forces); and (E) two vertically constrained particles at a liquid-vapor interface (i.e., capillary immersion forces). The simulation results are in good quantitative agreement with theoretical estimations, demonstrating that the proposed technique can reproduce the capillary interactions between wettable particles at a liquid-vapor interface under gravity. en-copyright= kn-copyright= en-aut-name=MinoYasushi en-aut-sei=Mino en-aut-mei=Yasushi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TanakaHazuki en-aut-sei=Tanaka en-aut-mei=Hazuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=NakasoKoichi en-aut-sei=Nakaso en-aut-mei=Koichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=GotohKuniaki en-aut-sei=Gotoh en-aut-mei=Kuniaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=ShintoHiroyuki en-aut-sei=Shinto en-aut-mei=Hiroyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= affil-num=1 en-affil=Division of Applied Chemistry, Graduate School of Natural Science and Technology, Okayama University kn-affil= affil-num=2 en-affil=Division of Applied Chemistry, Graduate School of Natural Science and Technology, Okayama University kn-affil= affil-num=3 en-affil=Division of Applied Chemistry, Graduate School of Natural Science and Technology, Okayama University kn-affil= affil-num=4 en-affil=Division of Applied Chemistry, Graduate School of Natural Science and Technology, Okayama University kn-affil= affil-num=5 en-affil=Department of Chemical Engineering, Fukuoka University kn-affil= END start-ver=1.4 cd-journal=joma no-vol=101 cd-vols= no-issue=3 article-no= start-page=033304 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2020 dt-pub=20200313 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Lattice Boltzmann method for simulation of wettable particles at a fluid-fluid interface under gravity en-subtitle= kn-subtitle= en-abstract= kn-abstract= A computational technique was developed to simulate wettable particles trapped at a fluid-fluid interface under gravity. The proposed technique combines the improved smoothed profile-lattice Boltzmann method (iSP-LBM) for the treatment of moving solid-fluid boundaries and the free-energy LBM for the description of isodensity immiscible two-phase flows. We considered five benchmark problems in two-dimensional systems, including a stationary drop, a wettable particle trapped at a fluid-fluid interface in the absence or presence of gravity, two freely moving particles at a fluid-fluid interface in the presence of gravity (i.e., capillary floatation forces), and two vertically constrained particles at a fluid-fluid interface (i.e., capillary immersion forces). The simulation results agreed well with theoretical estimations, demonstrating the efficacy of the proposed technique. en-copyright= kn-copyright= en-aut-name=MinoYasushi en-aut-sei=Mino en-aut-mei=Yasushi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=ShintoHiroyuki en-aut-sei=Shinto en-aut-mei=Hiroyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Division of Applied Chemistry, Graduate School of Natural Science and Technology, Okayama University kn-affil= affil-num=2 en-affil=Department of Chemical Engineering, Fukuoka University kn-affil= END start-ver=1.4 cd-journal=joma no-vol=95 cd-vols= no-issue=4 article-no= start-page=043309 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=20170425 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Effect of internal mass in the lattice Boltzmann simulation of moving solid bodies by the smoothed-profile method en-subtitle= kn-subtitle= en-abstract= kn-abstract= A computational method for the simulation of particulate flows that can efficiently treat the particle-fluid boundary in systems containing many particles was developed based on the smoothed-profile lattice Boltzmann method (SPLBM). In our proposed method, which we call the improved SPLBM (iSPLBM), for an accurate and stable simulation of particulate flows, the hydrodynamic force on a moving solid particle is exactly formulated with consideration of the effect of internal fluid mass. To validate the accuracy and stability of iSPLBM, we conducted numerical simulations of several particulate flow systems and compared our results with those of other simulations and some experiments. In addition, we performed simulations on flotation of many lightweight particles with a wide range of particle size distribution, the results of which demonstrated the effectiveness of iSPLBM. Our proposed model is a promising method to accurately and stably simulate extensive particulate flows. en-copyright= kn-copyright= en-aut-name=MinoYasushi en-aut-sei=Mino en-aut-mei=Yasushi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=ShintoHiroyuki en-aut-sei=Shinto en-aut-mei=Hiroyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=SakaiShohei en-aut-sei=Sakai en-aut-mei=Shohei kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=MatsuyamaHideto en-aut-sei=Matsuyama en-aut-mei=Hideto kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= affil-num=1 en-affil=Division of Applied Chemistry, Graduate School of Natural Science and Technology, Okayama University kn-affil= affil-num=2 en-affil=Department of Chemical Engineering, Fukuoka University kn-affil= affil-num=3 en-affil=Center for Membrane and Film Technology, Department of Chemical Science and Engineering, Kobe University kn-affil= affil-num=4 en-affil=Center for Membrane and Film Technology, Department of Chemical Science and Engineering, Kobe University kn-affil= END